What amount of heat is needed to heat the air from 15 to 20 ° C in a room whose length is 5m, width 4m

What amount of heat is needed to heat the air from 15 to 20 ° C in a room whose length is 5m, width 4m, height 2.8m? Specific heat capacity of air – 1000J / kg ° С, density – 1.29kg / m3

Data: t1 (initial air temperature in the room) = 15 ºС; t2 (final temperature) = 20 ºС; L (room length) = 5 m; B (width) = 4 m; H (height) = 2.8 m.

Constants: by condition С (specific heat capacity of air) = 1000 J / (kg * ºС); ρ (air density) = 1.29 kg / m3.

1) Room volume: V = L * B * H = 5 * 4 * 2.8 = 56 m3.

2) Air mass in the room: m = ρ * V = 1.29 * 56 = 72.24 kg.

3) Heat for heating the room: Q = C * m * (t2 – t1) = 1000 * 72.24 * (20 – 15) = 361200 J (361.2 kJ).